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Finding the Third Proportional to 86,482.13 and 187,726.50

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Solution

The third proportional to 86,482.13 and 187,726.50 is: 407,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,482.13 : 187,726.50 = 187,726.50 : x
  2. Step 2: Convert to fraction form
    86,482.13/187,726.50 = 187,726.50/x
  3. Step 3: Cross multiply
    86,482.13x = 187,726.50 × 187,726.50
  4. Step 4: Simplify right side
    86,482.13x = 35,241,238,802.25
  5. Step 5: Solve for x
    x = 35,241,238,802.25/86,482.13
  6. Step 6: Final answer
    x = 407,497.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.